Question

For each situation described in Exercises 1-4, first write an equation in the form y = mx + b. Then, solve each problem.

A sales associate is given a $500 hiring bonus with a new job. She earns an average commission of $250 per week for the next 12 weeks. How much does she earn?
a) y = 250x + 500, she earns $3500 in 12 weeks.

b) y = 250x + 500, she earns $3000 in 12 weeks.

c) y = 500x + 250, she earns $2500 in 12 weeks.

d) y = 500x + 250, she earns $3000 in 12 weeks.

Answer 1

The correct equation for the sales associate's earnings over 12 weeks is y = 250x + 500; after calculation, the total earnings are $3500.

Step-by-step explanation:

The situation described in the question involves a sales associate who receives a $500 hiring bonus and an average commission of $250 per week for the next 12 weeks. To write an equation in the form y = mx + b, let y represent the total earnings, m represent the weekly commission, x represent the number of weeks, and b represent the hiring bonus. The correct equation for this scenario is y = 250x + 500. To solve for the total amount earned in 12 weeks, we substitute x with 12 and calculate y = 250(12) + 500, which equals $3500.